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Finding the Fourth Proportional to 541,066.53, 811,364.70 and 256,838.55

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Solution

The fourth proportional to 541,066.53, 811,364.70 and 256,838.55 is: 385,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,066.53 : 811,364.70 = 256,838.55 : x
  2. Step 2: Convert to fraction form
    541,066.53/811,364.70 = 256,838.55/x
  3. Step 3: Cross multiply
    541,066.53x = 811,364.70 × 256,838.55
  4. Step 4: Simplify right side
    541,066.53x = 208,389,729,545.00
  5. Step 5: Solve for x
    x = 208,389,729,545.00/541,066.53
  6. Step 6: Final answer
    x = 385,146.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.